Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter 6.S, Problem 31P
Summary Introduction
To determine: Process capability index
Introduction: Statistical process control is the method that helps to measure and control the quality during the process of production.
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A process filling small bottles with baby formula has a target of 3ounces ± 0.150 ounce. Two hundred bottles from the process were sampled. The results showed the average amount of formula placed in the bottles to be 3.042 ounces. The standard deviation of the amounts was
0.034 ounce. Determine the value of Cpk. Roughly what proportion of bottles meet the specifications?
The process capability index (Cpk) is ?? enter your response here (round your response to three decimal places).▼
Slightly more than 80 , 99.99, 99.73, 9095.45 ?? %of the bottles meet the specifications.
Which of the number above is slightly more than?
A process filling small bottles with baby formula has a target of 3.1 ounces, plus or minus 0.255 ounce. Two hundred bottles from the process were sampled. The results showed the average amount of formula placed in the bottles to be 3.050 ounces. The standard deviation of the amounts was 0.068 ounce. Determine the value of Upper C Subscript pk. Roughly what proportion of bottles meet the specifications?
The process capability index is (round your response to three decimal places).
A process filling small bottles with baby formula hasa target of 3 ounces ± 0.150 ounce. Two hundred bottles fromthe process were sampled. The results showed the averageamount of formula placed in the bottles to be 3.042 ounces. Thestandard deviation of the amounts was 0.034 ounce. Determinethe value of Cpk· Roughly what proportion of bottles meetthe specifications?
Chapter 6 Solutions
Operations Management
Ch. 6.S - Prob. 1DQCh. 6.S - Define in statistical control.Ch. 6.S - Prob. 3DQCh. 6.S - Prob. 4DQCh. 6.S - Prob. 5DQCh. 6.S - Prob. 6DQCh. 6.S - Prob. 7DQCh. 6.S - Prob. 8DQCh. 6.S - Prob. 9DQCh. 6.S - Prob. 10DQ
Ch. 6.S - Prob. 11DQCh. 6.S - Prob. 12DQCh. 6.S - Prob. 13DQCh. 6.S - Prob. 14DQCh. 6.S - Prob. 15DQCh. 6.S - Prob. 16DQCh. 6.S - Prob. 17DQCh. 6.S - What does the formula L = D2C mean?Ch. 6.S - Prob. 19DQCh. 6.S - An avant-garde clothing manufacturer runs a series...Ch. 6.S - Prob. 2PCh. 6.S - Prob. 3PCh. 6.S - Prob. 4PCh. 6.S - Kathleen McFaddens restaurant in Boston has...Ch. 6.S - Develop a flowchart [as in Figure 6.6 (e) and...Ch. 6.S - Prob. 7PCh. 6.S - Prob. 8PCh. 6.S - Prob. 9PCh. 6.S - Prob. 10PCh. 6.S - Prob. 11PCh. 6.S - Prob. 12PCh. 6.S - Prob. 13PCh. 6.S - Prob. 14PCh. 6.S - Prob. 15PCh. 6.S - Prob. 16PCh. 6.S - Prob. 17PCh. 6.S - Prob. 18PCh. 6.S - Prob. 19PCh. 6.S - Prob. 20PCh. 6.S - Prob. 21PCh. 6.S - Prob. 22PCh. 6.S - Prob. 23PCh. 6.S - Prob. 24PCh. 6.S - Prob. 25PCh. 6.S - Prob. 26PCh. 6.S - Prob. 27PCh. 6.S - Prob. 28PCh. 6.S - Prob. 29PCh. 6.S - Prob. 30PCh. 6.S - Prob. 31PCh. 6.S - Prob. 32PCh. 6.S - Prob. 33PCh. 6.S - Prob. 34PCh. 6.S - Prob. 35PCh. 6.S - Prob. 1CSCh. 6.S - Prob. 2CSCh. 6.S - Prob. 1.1VCCh. 6.S - Prob. 1.2VCCh. 6.S - Prob. 1.3VCCh. 6.S - Prob. 2.1VCCh. 6.S - Prob. 2.2VCCh. 6.S - Prob. 2.3VCCh. 6.S - Prob. 2.4VCCh. 6 - Prob. 1DQCh. 6 - Prob. 2DQCh. 6 - Prob. 3DQCh. 6 - Prob. 4DQCh. 6 - Prob. 5DQCh. 6 - Prob. 6DQCh. 6 - Prob. 7DQCh. 6 - Prob. 8DQCh. 6 - Prob. 9DQCh. 6 - Prob. 10DQCh. 6 - Prob. 11DQCh. 6 - Prob. 12DQCh. 6 - Prob. 13DQCh. 6 - Prob. 14DQCh. 6 - Prob. 15DQCh. 6 - Prob. 16DQCh. 6 - Prob. 17DQCh. 6 - What does the formula L = D2C mean?Ch. 6 - Prob. 19DQCh. 6 - An avant-garde clothing manufacturer runs a series...Ch. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Kathleen McFaddens restaurant in Boston has...Ch. 6 - Develop a flowchart [as in Figure 6.6 (e) and...Ch. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10PCh. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 1CSCh. 6 - How could the survey have been more useful?Ch. 6 - Prob. 3CSCh. 6 - Prob. 1.1VCCh. 6 - Prob. 1.2VCCh. 6 - Prob. 1.3VCCh. 6 - Prob. 1.4VCCh. 6 - Prob. 2.1VCCh. 6 - Prob. 2.2VCCh. 6 - Prob. 2.3VCCh. 6 - Prob. 2.4VCCh. 6 - Prob. 2.5VC
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- Organic Grains LLC uses statistical process control to ensure that its health-conscious, low-fat, multigrain sandwich loaves have the proper weight. Based on a previously stable and in-control process, the control limits of the x- and R-charts are: UCL-4.86, LCL- = 4.52, UCLR=1.344, LCLR = 0. Over the past few days, they have taken five random samples of four loaves each and have found the following: Based on the x-chart, is one or more samples beyond the control limits? Sample 1 2 3 4 5 Yes No Loaf # 1 4.8 4.4 4.5 4.6 5.0 Net Weight Loaf # 2 4.7 4.8 4.5 4.9 4.8 Loaf # 3 5.0 4.7 4.9 4.7 4.7 Loaf # 4 4.7 4.8 4.6 4.5 4.6arrow_forwardAuto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 5 pistons produced each day, the mean and the range of this diameter have been as follows: Day Mean (mm) Range R (mm) 158 4.3 151.2 4.4 155.7 4.2 153.5 4.8 156.6 4.5 What is the UCL using 3-sigma?(round your response to two decimal places). 1. 2. 4.arrow_forwardAt Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its lengthis between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49inches and a standard deviation of 0.014 inches. A) Is the process capable of meeting specifications? B) Does the process meet specifications?arrow_forward
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- Can someone please explain to me how to complete 3-sigma control limits (upper and Lower) using Excel? This is the question I am trying to answer: Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean = 57.75 lb., Average range R = 1.78 lb.a) For the given sample size, the control limits for 3-sigma x chart are:Upper Control Limit (UCL) = ____Ib (round your response to three decimal places)arrow_forward1. The data shown in Table 1 are x and R values for 20 samples of size n= 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 31.6 should be 0.50316). Please show all your work for full credit. (a) Set up x and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. (b) Assume that diameter is normally distributed. Estimate the process standard deviation. Sample R Sample R 1 31.6 4 11 29.8 4 33.0 3 12 34.0 4 35.0 4 13 33.0 10 4 32.2 4 14 34.8 4 5 33.8 38.4 31.6 15 35.6 7 3 16 30.8 7 4 17 33.0 5 8 36.8 10 18 31.6 3 9. 35.0 15 19 28.2 9 10 34.0 6 20 33.8 Table 1: Bearing Diameter Dataarrow_forwardThe Road King Tire Company in Birmingham wants to moni-tor the quality of the tires it manufactures. Each day the com-pany quality-control manager takes a sample of 100 tires, tests them, and determines the number of defective tires. The re-sults of 20 samples have been recorded as follows:Construct a p-chart for this process using 2 limits and for each of the last 30 weekdays are shown as follows:describe the variation in the process. Sample Defectives Sample Defectives1 14 11 182 12 12 103 9 13 194 10 14 205 11 15 176 7 16 187 8 17 188 14 18 229 16 19 2410 17 20 23arrow_forward
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